Systematic errors due to linear congruential random-number generators with the Swendsen-Wang algorithm: A warning

Details Systematic errors due to linear congruential random-number generators with the Swendsen-Wang algorithm: A warning Systematic errors due to linear congruential random-number generators with the Swendsen-Wang algorithm: A warning

2004-03-08

arxiv.org/abs/hep-lat/0403010v1

Phys.Rev. E70 (2004) 027701

Physics

High Energy Physics

High Energy Physics - Lattice

Revtex4, 4 pages

Scientific paper

10.1103/PhysRevE.70.027701

We show that linear congruential pseudo-random-number generators can cause systematic errors in Monte Carlo simulations using the Swendsen-Wang algorithm, if the lattice size is a multiple of a very large power of 2 and one random number is used per bond. These systematic errors arise from correlations within a single bond-update half-sweep. The errors can be eliminated (or at least radically reduced) by updating the bonds in a random order or in an aperiodic manner. It also helps to use a generator of large modulus (e.g. 60 or more bits).

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